How can a risk come from "outside" LinkedIn related to my password? If I haven't leaked my own password, then there should be nothing to fear, and my account should be secure.
Unless of course LINKEDIN ITSELF is compromised, and leaked my password. In that case, the wording about "coming form outside LinkedIn" just smells like BS/spin to me.
"We've recently noticed a potential risk to your LinkedIn account coming from outside LinkedIn."
That's almost as bad as saying "we take security very seriously" after a hack!